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The diameter of the tyres of a car is 63 centimetres. If the car is driven at a constant speed such that the tyre makes one 360-degree rotation in 0.24 seconds, what is the approximate speed of the car in kilometres per hour? 
  • a)
    25 kilometre per hour
  • b)
    30 kilometre per hour
  • c)
    60 kilometre per hour
  • d)
    171 kilometre per hour
  • e)
    180 kilometre per hour © 2014 ScholaraniumDashboardSkill DataAttemptsSupportTerms of Use
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The diameter of the tyres of a car is 63 centimetres. If the car is dr...
Given:
  • Let the diameter of the tyre = d
  • d = 63 cm
  • Tyre makes one 360-degree rotation in 0.24 seconds
To find: Approx. speed of car in kilometers per hour ( in short kmph)
Approach:
  1. Speed = Distance/Time
    • We will find the distance that the tyre covers in 0.24 seconds
    • This distance = Circumference of the tyre
    • (Note: the car moves a distance through the rotation of its tyres. This is the reason why in answer to the question on the speed of the car, we are finding the distance covered by its tyres per unit time)
       
  1. Since we’re asked for only an approximate speed, we can use the principles of Estimation and Rounding to ease our calculations. But we will not round numbers aggressively since a few answer choices are not very far apart in magnitude (Choices A and B, Choices D and E)
Working Out:
  • Finding the circumference of the tyre
    • Circumference of the tyre 
​​​​
  • Thus, the speed of the car is 30 kilometers per hour approx.
Looking at the answer choices, we see that the correct answer is Option B
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The diameter of the tyres of a car is 63 centimetres. If the car is driven at a constant speed such that the tyre makes one 360-degree rotation in 0.24 seconds, what is the approximate speed of the car in kilometres per hour?a)25 kilometre per hourb)30 kilometre per hourc)60 kilometre per hourd)171 kilometre per houre)180 kilometre per hour © 2014 ScholaraniumDashboardSkill DataAttemptsSupportTerms of UseCorrect answer is option 'B'. Can you explain this answer?
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